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Find a monic quartic polynomial  f(x) with rational coefficients whose roots include x=1-sqrt2 and x=2+sqrt5. Give your answer in expanded form.

 May 9, 2021
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(x-1-sqrt2)(x-1+sqrt2)(x-2-sqrt5)(x-2+sqrt5)      this equals  x4-6x3+6x2+6x+1

 May 9, 2021

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